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Formal languages are used as tools in multiple disciplines. However, formal language theory rarely concerns itself with particular languages (except as examples), but is mainly concerned with the study of various types of formalisms to describe languages. For instance, a language can be given as those strings generated by some formal grammar;
Another central idea of linguistic formalism is that human language can be defined as a formal language like the language of mathematics and programming languages. Additionally, formal rules can be applied outside of logic or mathematics to human language, treating it as a mathematical formal system with a formal grammar. [27] A characteristic ...
Philosophy of language is the area of philosophy which investigates the nature of language and the relations between language, language users, and the world. [1] Investigations may include inquiry into the nature of meaning , intentionality , reference , the constitution of sentences, concepts, learning , and thought .
Formal language theory, the discipline that studies formal grammars and languages, is a branch of applied mathematics. Its applications are found in theoretical computer science, theoretical linguistics, formal semantics, mathematical logic, and other areas. A formal grammar is a set of rules for rewriting strings, along with a "start symbol ...
Language is a structured system of communication that consists of grammar and vocabulary.It is the primary means by which humans convey meaning, both in spoken and signed forms, and may also be conveyed through writing.
The formal description of language was further developed by linguists including J. R. Firth and Simon Dik, giving rise to modern grammatical frameworks such as systemic functional linguistics and functional discourse grammar. Computational methods have been developed by the framework functional generative description among others.
A formal language is of constant growth if every string in the language is longer than the next shorter strings by at most a (language-specific) constant. Languages that violate this property are often considered to be beyond human capacity, although some authors have argued that certain phenomena in natural language do show a growth that ...
For example, indexed languages & grammars have been around since Aho (1968) and have been well studied since then, in e.g. Hopcroft & Ullman (1979), not to mention mildly context-sensitive (Joshi et al, 1975), deterministic context-free, and other major formal languages and grammars.